%0 Journal Article
%A Muñoz-Fernández, Gustavo A.
%A Seoane-Sepúlveda, Juan B.
%T Geometry of Banach spaces of trinomials
%D 2008
%@ 0022-247X
%U https://hdl.handle.net/20.500.14352/50195
%X For each pair of numbers m, n epsilon N with m > n, we consider the norm on R-3 given by parallel to(a, b, c)parallel to m,n = sup{vertical bar ax(m) +bx(n) +C vertical bar: x epsilon [-1, 1]} for every (a, b, c) epsilon R-3. We investigate some geometrical properties of these norms. We provide an explicit formula for parallel to center dot parallel to m,n, a full description of the extreme points of the corresponding unit balls and a parametrization and a plot of their unit spheres.
%~